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Simplifying 7(y2 + 5y + -9) + y = y(7y + -2) + 13 Reorder the terms: 7(-9 + 5y + y2) + y = y(7y + -2) + 13 (-9 * 7 + 5y * 7 + y2 * 7) + y = y(7y + -2) + 13 (-63 + 35y + 7y2) + y = y(7y + -2) + 13 Reorder the terms: -63 + 35y + y + 7y2 = y(7y + -2) + 13 Combine like terms: 35y + y = 36y -63 + 36y + 7y2 = y(7y + -2) + 13 Reorder the terms: -63 + 36y + 7y2 = y(-2 + 7y) + 13 -63 + 36y + 7y2 = (-2 * y + 7y * y) + 13 -63 + 36y + 7y2 = (-2y + 7y2) + 13 Reorder the terms: -63 + 36y + 7y2 = 13 + -2y + 7y2 Add '-7y2' to each side of the equation. -63 + 36y + 7y2 + -7y2 = 13 + -2y + 7y2 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -63 + 36y + 0 = 13 + -2y + 7y2 + -7y2 -63 + 36y = 13 + -2y + 7y2 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -63 + 36y = 13 + -2y + 0 -63 + 36y = 13 + -2y Solving -63 + 36y = 13 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -63 + 36y + 2y = 13 + -2y + 2y Combine like terms: 36y + 2y = 38y -63 + 38y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -63 + 38y = 13 + 0 -63 + 38y = 13 Add '63' to each side of the equation. -63 + 63 + 38y = 13 + 63 Combine like terms: -63 + 63 = 0 0 + 38y = 13 + 63 38y = 13 + 63 Combine like terms: 13 + 63 = 76 38y = 76 Divide each side by '38'. y = 2 Simplifying y = 2
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